Average Error: 0.5 → 1.0
Time: 2.9s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{\frac{x}{y - z}}{y - t}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{\frac{x}{y - z}}{y - t}
double f(double x, double y, double z, double t) {
        double r251744 = 1.0;
        double r251745 = x;
        double r251746 = y;
        double r251747 = z;
        double r251748 = r251746 - r251747;
        double r251749 = t;
        double r251750 = r251746 - r251749;
        double r251751 = r251748 * r251750;
        double r251752 = r251745 / r251751;
        double r251753 = r251744 - r251752;
        return r251753;
}
↓
double f(double x, double y, double z, double t) {
        double r251754 = 1.0;
        double r251755 = x;
        double r251756 = y;
        double r251757 = z;
        double r251758 = r251756 - r251757;
        double r251759 = r251755 / r251758;
        double r251760 = t;
        double r251761 = r251756 - r251760;
        double r251762 = r251759 / r251761;
        double r251763 = r251754 - r251762;
        return r251763;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.5

    \[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
  2. Using strategy rm

  3. Applied associate-/r*1.0

    \[\leadsto 1 - \color{blue}{\frac{\frac{x}{y - z}}{y - t}}\]

  4. Final simplification1.0

    \[\leadsto 1 - \frac{\frac{x}{y - z}}{y - t}\]

Reproduce

herbie shell --seed 2019356 
(FPCore (x y z t)
  :name "Data.Random.Distribution.Triangular:triangularCDF from random-fu-0.2.6.2, A"
  :precision binary64
  (- 1 (/ x (* (- y z) (- y t)))))